-(a^2)^3*a^4 eching

$$- ( a ^ { 2 } ) ^ { 3 } \cdot a ^ { 4 }$$

Baholash

$$-a^{10}$$

Yechim qadamlari

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va 3 ni ko‘paytirib, 6 ni oling.

$$\left(-a^{6}\right)a^{4}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 6 va 4 ni qo‘shib, 10 ni oling.

$$-a^{10}$$

a ga nisbatan hosilani topish

$$-10a^{9}$$

Derivativ ifodasidan foydalanish qadamlari

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va 3 ni ko‘paytirib, 6 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\left(-a^{6}\right)a^{4})$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 6 va 4 ni qo‘shib, 10 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}a}(-a^{10})$$

ax^{n} hosilasi – nax^{n-1}.

$$10\left(-1\right)a^{10-1}$$

10 ni -1 marotabaga ko'paytirish.

$$-10a^{10-1}$$

10 dan 1 ni ayirish.

$$-10a^{9}$$